Label each limit law description with its corresponding analytical representation. The limit of a sum of functions is the sum of each function's limit. The limit of a difference of functions is the difference of each function's limit. The limit of a product of functions is the product of each function's limit. The limit of a quotient of functions is the quotient of each function's limit. The limit of a root of a function is the root of the function's limit. The limit of a function raised to a power is the limit of the function raised to the power. The limit of a function multiplied by a constant is the constant times the limit of the function.

Label each limit law description with its corresponding analytical representation. The limit of a sum of functions is the sum of each function's limit. The limit of a difference of functions is the difference of each function's limit. The limit of a product of functions is the product of each function's limit. The limit of a quotient of functions is the quotient of each function's limit. The limit of a root of a function is the root of the function's limit. The limit of a function raised to a power is the limit of the function raised to the power. The limit of a function multiplied by a constant is the constant times the limit of the function.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Label each limit law description with its corresponding analytical representation.
The limit of a sum of functions is the sum of each function's limit.
The limit of a difference of functions is the difference of each function's limit.
The limit of a product of functions is the product of each function's limit.
The limit of a quotient of functions is the quotient of each function's limit.
The limit of a root of a function is the root of the function's limit.
The limit of a function raised to a power is the limit of the function raised to the power.
The limit of a function multiplied by a constant is the constant times the limit of the function.
lim f(x) =
=
X-C
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"(x))"
lim f (x)
X-C
Answer Bank
lim(k. f (x)) = k (lim f (x)
X-C
X-C
lim [f (x) + g (x)] = lim f (x) + lim g (x)
X-C
X-C
X→C
lim [f(x) · g(x)] = lim f (x) lim g (x)
X-C
X-C
X-C
limf (x):
-
X-C
lim
X→C
lim [f (x) - g (x)] = lim f (x) - lim g (x)
X-C
X-C
X-C
lim f (x)
X-C
f (x)
g
lim f (x)
X-C
lim g (x)
X-C

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